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2 years ago

Solve the two-step equation. 14 = 31.7 – 3x What is the solution?

Mathematics

1 answer:

shtirl [24]2 years ago

3 0

Answer:

The answer is 5.9

Step-by-step explanation:

1) Subtract 31.7 from both sides.

$14 - 31.7 = - 3x$

2) Simplify 14 - 31.7 to -17.7

$- 17.7 = - 3x$

3) Divide both sides by -3.

$\frac{ - 17.7}{ - 3} = x$

4) Simplify -17.7/-3 to 5.9

$5.9 = x$

5) Switch sides.

$x = 5.9$

Therefor, the answer is x = 5.9.

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I need to find the X and Y values please help thanks

Anna35 [415]

Answer:

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Step-by-step explanation:

thats what i worked out and got

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2 years ago

Wolfgang and Heinrich worked as electricians at $14 and $12 per hour respectively. One month Wolfgang worked 10 hours more than

Licemer1 [7]

Let us say that:

x = hours worked by Wolfgang

y = hours worked by Heinrich

So that:

x = y + 10

14 x + 12 y = 3520

By combining the two equations:

14 (y + 10) + 12 y = 3520

14 y + 140 + 12 y = 3520

26 y = 3380

y = 130 hours

x = y + 10 = 140 hours

<span>So Wolfgang worked 140 hours while Heinrich worked 130 hours.</span>

4 0

2 years ago

A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid

katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 865, \pi = \frac{408}{865} = 0.4717$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050$

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

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2 years ago

Jennifer uses a coupon that gives you 20% off your order. If the total was $18 before the discount, then how much money did she

zheka24 [161]

She would have saved $3.60

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2 years ago

Which set of angle measures could be the measures of the interior angles of a triangle? please help me

marishachu [46]

Answer:

B. 60-60-60

Step-by-step explanation:

The interior angles of a triangle must add up to 180 degrees. The only set of numbers adding up to 180 is choice B.

8 0

2 years ago